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Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics.
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the generators of $I$ when $\mathbb C[x,y]/I$ is Gorenstein with zero dimension
Let $I$ be any ideal in $R=\mathbb C[x,y]$ of height 2. If we know the localization of $I$ at any maximal ideal $m\supseteq I$ is generated by a regular sequence of length two in $R_m$. Is this true t …